Nonsingularity of the Direct Scattering Transform for the KP II Equation with a Real Exponentially Decaying-at-Infinity Potential

Letters in Mathematical Physics

Volumn 40, Issue 1, 1997, Pages 59-73

  Grinevich, P G ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

Kadomtsev Petviashvili (KP) equation; Scattering theory; Spectral transform

Indexed keywords

EID: 0039801690     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007333509613     Document Type: Article

References (13)

1. Ablowitz, M. J. and Fokas, A. S.: Stud. Appl. Math. 69 (1983), 211.
2. Ablowitz, M. J., Bar Yaacov, D. and Fokas, A. S.: Stud. Appl. Math. 69 (1983), 135.
3. Boiti, M., Pempinelli, F., Pogrebkov, A. K. and Polivanov, M. C.: Teor. Mat. Fiz. 93 (1992), 181.
4. Fokas, A. S. and Sung, L-Y: Inverse Probl. 8 (1992), 673.
5. Grinevich, P. G. and Novikov, S. P.: Funct. Anal. Appl. 22 (1988), 19.
6. Drama, V. S.: Pis'ma v JETF (JETP Lett.) 19, (1974)(12), 753 (in Russian).
7. Krichever, I. M.: Sovjet Math. Dokl. 17 (1976), 394.
8. Krichever, I. M.: Russian Math. Surveys 44 (1989), 145.
9. Manakov, S. V.: Physica D 3(1-2) (1981), 420.
10. Novikov, R. G.: J. Funct. Anal 103 (1992), 409.
11. Rudin, W.: Functional Analysis. McGraw-Hill, New York, 1973.
12. Zakharov, V. E. and Shabat, A. B.: Funct. Anal. Appl. 8 (1974), 226.
13. Zhou, H.: Comm. Math. Phys. 128 (1990), 551.